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Popular >

(0.5)/(x-x^2-1)<0

Solution

\frac{0.5}{x - x ^{2} - 1} < 0

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

\frac{0.5}{x - x ^{2} - 1} < 0

Divide both sides by

0.5

\frac{\frac{0.5}{x - x ^{2} - 1}}{0.5} < \frac{0}{0.5}

Simplify

\frac{1}{x - x ^{2} - 1} < 0

If

\frac{1}{a} < 0

then

a < 0

x - x^{2} - 1 < 0

Complete the square

x - x^{2} - 1 : - (x - \frac{1}{2})^{2} - \frac{3}{4}

- (x - \frac{1}{2})^{2} - \frac{3}{4} < 0

Move

\frac{3}{4}

to the right side

- (x - \frac{1}{2})^{2} < \frac{3}{4}

Multiply both sides by

- 1

(x - \frac{1}{2})^{2} > - \frac{3}{4}

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

(x - 1)^{3} < 4 (x - 1)

(x + 2)^{2} > 9

1/((x-2))+1/((x-1))> 1/x

\frac{1}{( x - 2 )} + \frac{1}{( x - 1 )} > \frac{1}{x}

solvefor h,h_{2}*s+s*o_{2}->h_{2}*o+s solve for

h, h_{2} \cdot s + s \cdot o_{2} - > h_{2} \cdot o + s

(x - 1) (2 x - 5) < 0

Frequently Asked Questions (FAQ)

What is (0.5)/(x-x^2-1)<0 ?
The solution to (0.5)/(x-x^2-1)<0 is True for all x